Am I right in saying that there are two energies, one to heat the metal up and another energy to overcome the latent heat of fusion?

If so, I used Q = (mXCmxdeltaT) + (mxdeltaHf).

When substituting the numbers I got out 7.5 J, which seems a little low.
As for the second part, I'm not sure how to go about it.
If anyone is any the wiser please let me know where I have gone wrong?!